tabbycat5203
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A drama teacher has a budget of $120 to spend on materials to create costumes for a play. She can buy 1 square yard of white material for $8, while 1 square yard of blue material costs $10. Let x represent the number of square yards of white fabric purchased and y be the number of square yards of blue fabric. Then the inequality 8x+10y≤120 graphed below determines how many square yards of each type of fabric can be bought without exceeding the budget. If the teacher wants to buy 10 square yards of white fabric, what is the greatest whole number of square yards of blue fabric that she can buy without exceeding the budget?

A Drama Teacher Has A Budget Of 120 To Spend On Materials To Create Costumes For A Play She Can Buy 1 Square Yard Of White Material For 8 While 1 Square Yard Of class=

Sagot :

MrRoyal

Inequalities are used to relate unequal expressions

The greatest whole number of square yards the teacher can buy is 4

The inequality is given as:

[tex]8x + 10y \le 120[/tex]

When the number of square yards of the white fabrics is 10.

It means that: x = 10

So, we have:

[tex]8 \times 10 + 10y \le 120[/tex]

[tex]80 + 10y \le 120[/tex]

Collect like terms

[tex]10y \le 120 - 80[/tex]

[tex]10y \le 40[/tex]

Divide both sides by 10

[tex]y \le 4[/tex]

The above inequality means that:

The greatest whole number of square yards the teacher can buy is 4

Read more about inequalities at:

https://brainly.com/question/15137133

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.